Paper Citation Record · LEDGER

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders

As of 12 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2412.12692.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.12692 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:55:20.255733Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:37.807449Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T19:01:38.048665Z

Reference resolution

16 of 16 outbound references displayed

verified exact2
verified fuzzy4
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation acc7bbc9-f49e-4fb6-bdd7-dee850a85ae3 · outbound

This paper cites Hardy, J.E.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Hardy, J.E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:55:20.646751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ec2767be-161b-431d-b79b-c6a48b1f7cbb · outbound

This paper cites an unresolved cited work.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:55:20.621547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7ec184c3-0f3f-4897-8fd6-253bd0c8f001 · outbound

This paper cites Strange Quarks Nuggets in Space: Charges in Seven Settings.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Strange Quarks Nuggets in Space: Charges in Seven Settings

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T13:55:20.186448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a59fc9a2-219d-49e0-ae57-9cca3b4f1c49 · outbound

This paper cites Jacob's ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Jacob's ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T13:55:20.190841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 979e079c-f650-4b4b-a041-0df006b9fada · outbound

This paper cites Jacob's ladders, reverse iterations and new infinite set of $L_2$-orthogonal systems generated by the Riemann $\zf$-function.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Jacob's ladders, reverse iterations and new infinite set of $L_2$-orthogonal systems generated by the Riemann $\zf$-function

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T13:55:20.195453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b70c8540-30fd-4908-ab24-bae2106ed654 · outbound

This paper cites Moser, Jacob’s ladders, interactions between ζ-oscillating systems and ζ-analogue of an elementary trigonometric identity, Proc.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Moser, Jacob’s ladders, interactions between ζ-oscillating systems and ζ-analogue of an elementary trigonometric identity, Proc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:55:20.602913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0339c6ec-17f9-4786-97ed-197f125c0913 · outbound

This paper cites Moser, Jacob’s ladders and vector operator producing new generations of L2-orthogonal systems connected with the Riemann’s ζ ( 1 2 + it) -function, arXiv: 2302.0750.v3 14 JAN MOSER.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Moser, Jacob’s ladders and vector operator producing new generations of L2-orthogonal systems connected with the Riemann’s ζ ( 1 2 + it) -function, arXiv: 2302.0750.v3 14 JAN MOSER

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T13:55:20.204308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65b817d4-510b-4cb7-a239-59ca7dd6ed89 · outbound

This paper cites Moser, Jacob’s ladders, existence of almost linear in crements of the Hardy-Littlewood integral and new types of multiplicative laws, arXiv: 2304.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Moser, Jacob’s ladders, existence of almost linear in crements of the Hardy-Littlewood integral and new types of multiplicative laws, arXiv: 2304

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:55:20.585341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9369e1a2-30a8-4899-8b13-bd57e19eae45 · outbound

This paper cites Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relations to the Selberg's formula (1946) and the Fermat-Wiles theorem.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relations to the Selberg's formula (1946) and the Fermat-Wiles theorem

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:55:20.385051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a87572e7-bdf1-4157-b4a5-c737d07dc91f · outbound

This paper cites Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918), the classical Dirichet's sum of divisors (1849) and their relationship with the Fermat-Wiles theorem.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918), the classical Dirichet's sum of divisors (1849) and their relationship with the Fermat-Wiles theorem

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T13:55:20.224665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14f890eb-74a5-48b7-b539-bc23b44d99a8 · outbound

This paper cites Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relation to the Titchmarsh's sums (1943) and the Fermat-Wiles theorem.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relation to the Titchmarsh's sums (1943) and the Fermat-Wiles theorem

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T13:55:20.229369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59bfdd68-84f7-4c82-817a-352f9dc17404 · outbound

This paper cites Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:55:20.342644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4220b319-6287-4892-a98a-3e58992e9c29 · outbound

This paper cites Jacob's ladders, logarithmic modification of the Hardy-Littlewood integral (1918), Titchmarsh's $\Omega$-theorem (1928) and new point of contact with the Fermat-Wiles theorem.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Jacob's ladders, logarithmic modification of the Hardy-Littlewood integral (1918), Titchmarsh's $\Omega$-theorem (1928) and new point of contact with the Fermat-Wiles theorem

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T13:55:20.242723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af536387-e699-47a4-9e87-4811d4d0e6e1 · outbound

This paper cites Jacob's ladders, almost exact decomposition of certain increments of the Hardy-Littlewood integral (1918) by means of the Raabe's integral and the thirteenth equivalent of the Fermat-Wiles theorem.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Jacob's ladders, almost exact decomposition of certain increments of the Hardy-Littlewood integral (1918) by means of the Raabe's integral and the thirteenth equivalent of the Fermat-Wiles theorem

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T13:55:20.247352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e573903-77f7-4a6b-b452-1594dee2093e · outbound

This paper cites Selberg, Contribution to the theory of the Riemann ze ta-function, Arch.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Selberg, Contribution to the theory of the Riemann ze ta-function, Arch

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:55:20.568181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c84990e4-d1ee-4355-97c1-1ad8dcbacabb · outbound

This paper cites an unresolved cited work.

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:55:20.549762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 4775aa0b-270f-4e10-a328-5f658a338276 · inbound

Jacob's ladders, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem cites this paper.

Jacob's ladders, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.054434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.